289648128 has 320 divisors, whose sum is σ = 1005649920. Its totient is φ = 71884800.

The previous prime is 289648087. The next prime is 289648133. The reversal of 289648128 is 821846982.

289648128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3666393 + ... + 3666471.

It is an arithmetic number, because the mean of its divisors is an integer number (3142656).

Almost surely, 2^289648128 is an apocalyptic number.

289648128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502824960).

289648128 is an abundant number, since it is smaller than the sum of its proper divisors (716001792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

289648128 is a wasteful number, since it uses less digits than its factorization.

289648128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The square root of 289648128 is about 17019.0519124891. The cubic root of 289648128 is about 661.6427763336.

The spelling of 289648128 in words is "two hundred eighty-nine million, six hundred forty-eight thousand, one hundred twenty-eight".